31150775040 has 576 divisors, whose sum is σ = 125104573440. Its totient is φ = 6417285120.

The previous prime is 31150775021. The next prime is 31150775119. The reversal of 31150775040 is 4057705113.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 31150774992 and 31150775010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40507776 + ... + 40508544.

It is an arithmetic number, because the mean of its divisors is an integer number (217195440).

Almost surely, 2^31150775040 is an apocalyptic number.

31150775040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31150775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62552286720).

31150775040 is an abundant number, since it is smaller than the sum of its proper divisors (93953798400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31150775040 is a wasteful number, since it uses less digits than its factorization.

31150775040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 33.

The spelling of 31150775040 in words is "thirty-one billion, one hundred fifty million, seven hundred seventy-five thousand, forty".